{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import random\n",
    "import statistics\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "num_flips = 1000\n",
    "\n",
    "results = [random.choices([0,1],[0.4, 0.6])[0] \n",
    "           for _ in range(num_flips)]\n",
    "\n",
    "running_means = [statistics.mean(results[0:idx+1]) \n",
    "                 for idx in range(num_flips)]\n",
    "\n",
    "visual_num = 100\n",
    "plt.scatter(range(1,visual_num+1), results[0:visual_num],\n",
    "            c = results[0:visual_num], marker=\"o\", cmap=\"cool\")\n",
    "plt.plot(range(1, visual_num+1), results[0:visual_num])\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Result\")\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(range(1, num_flips+1), running_means)\n",
    "plt.axhline(0.5, color = 'r')\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel('Running Mean')\n",
    "plt.grid(True)\n",
    "plt.ylim(0,1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
